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Find the slit separation of a double-slit arrangement that will produce interference fringes0.018 radapart on a distant screen when the light has wavelengthλ=589 nm.

Short Answer

Expert verified

Thus, the wavelength of visible light is33μm.

Step by step solution

01

According to the question.

In the case of a distant screen the angle θis close to zero so sinθ≈θ

Thus, solve further gives:

Δθ≈Δsinθ=Δmλd=λdΔmΔθ=λd

Here,λ is wavelength of light in air/vacuum.

02

The wavelength of visible light. 

Use the above formula as follows:

d=λΔθ=589×10-9m0.018rad=3.3×10-5m=33μm

Hence, the wavelength of visible light is33μm.

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Most popular questions from this chapter

In Fig. 35-45, a broad beam of light of wavelength 683 nm is sent directly downward through the top plate of a pair of glass plates. The plates are 120 mm long, touch at the left end, and are separated by 48.0μm at the right end. The air between the plates acts as a thin film. How many bright fringes will be seen by an observer looking down through the top plate?

A thin film suspended in air is 0.410 μ³¾thick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.50. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?

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